26 December 2019

Workshop "Number Theory and Ergodic Theory"

Period:
February 8 -- 10, 2020
Venue:
Kanazawa University Satellite Plaza (access)
-Address: 16 Nishicho 3-Bancho, Kanazawa-shi, Ishikawa, 920-0913, JAPAN
-Tel: 076-232-5343 (+81-76-232-5343)
Room:
-February 8, 9:00 -- 13:00: Communicating Salon on the 1st Floor
-February 8, 13:00 -- : Lecture Room on the 2nd Floor
This workshop is dedicated to the applications related to the number theory and ergodic theory. We welcome anyone who is interested in.

Program:

Saturday, February 8

9:00 -- 9:40 Masato Takei (Yokohama National University)
Probabilistic analysis of Takagi class functions: Rate of convergence
- Joint work with Shoto Osaka (Yokohama National University)
10:00 -- 10:40 Hiroki Takahasi (KiPAS, Keio University)
Large deviation principle for arithmetic functions in the backward continued fraction expansion
11:00 -- 11:40 Toru Sera (Kyoto University)
A conditional limit theorem for the Pomeau--Manneville map
- Joint work with Jon Aaronson (Tel Aviv University)
11:40 -- 13:40 Lunch Break
13:40 -- 14:10 Yu Ito (Kyoto Sangyo University)
Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
- Joint work with Toru Sera (Kyoto University) and Kouji Yano (Kyoto University)
14:30 -- 15:10 Naoto Shimaru (Okayama University of Science)
On behaviors of irrational rotations
- Joint work with Keizo Takashima (Okayama University of Science)
15:40 -- 16:20 Shoichi Kamada (Tokyo Metropolitan University)
On failure probabilities of reductions from subset sum problems to lattice problems, and multifractal analysis
16:40 -- 17:30 Teturo Kamae (Osaka City University)
Non-correlated pattern sequences
- Joint work with Zheng Yu (Yangtze University) and Peng Li (Huazhong University of Science and Technology)

Sunday, February 9

9:00 -- 9:20 Hiroshi Fujisaki (Kanazawa University)
A simple construction of the full-length binary sequences based on the discretized Markov $\beta$-transformations and their correlational properties
9:40 -- 10:20 Kenichiro Yamamoto (Nagaoka University of Technology)
Topological entropy of the set of generic points for ($\alpha$-$\beta$)-shifts
10:40 -- 11:30 Shintaro Suzuki (Keio Institute of Pure and Applied Sciences)
The set of conjugates of all Yrrap numbers
11:30 -- 13:30 Lunch Break
13:30 -- 14:20 Hajime Kaneko (University of Tsukuba)
Hensel's lemma and application for the base-b expansions of integers
14:40 -- 15:20 Dong Han Kim (Dongguk University)
Intrinsic Diophantine approximation of the sphere
- Joint work with Byungchul Cha (Muhlenberg College)
15:50 -- 16:30 Ryotaro Okazaki (The university of Tokyo)
Using Number Theory Software Sagemath
16:50 -- 17:40 Shigeki Akiyama (University of Tsukuba)
A geometric characterization of pure discrete symbolic dynamics

Monday, February 10

9:00 -- 9:40 Yuto Nakajima (Kyoto University)
Slicing the fractal imaginary cubes
10:00 -- 10:50 Jun-ichi Tamura (Inst. for Math. and Comp. Sci., Tsuda College)
Some problems and results around Pentagonal Number Theorem of Euler, and Moonshine, etc.
11:10 -- 11:50 Kota Saito (Nagoya University)
Szemerédi's theorem and fractal dimensions of sets not containing weak arithmetic progressions
11:50 -- 14:00 Lunch Break
14:00 -- 17:00 Free Discussion

Organizers:
Contact:Hiroshi Fujisaki (Kanazawa University)
witten by FUJISAKI

This workshop is supported by Japan Society for the Promotion of Science (JSPS Kakenhi):